{"id":2080,"date":"2024-07-19T16:13:20","date_gmt":"2024-07-19T10:43:20","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=2080"},"modified":"2025-07-16T15:15:52","modified_gmt":"2025-07-16T09:45:52","slug":"hall-effect","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ec\/electronic-devices-circuits\/hall-effect","title":{"rendered":"Hall Effect"},"content":{"rendered":"<h2 style=\"text-align: center;\">What is Hall Effect?<\/h2>\n<p style=\"text-align: justify;\">The Hall effect is a consequence of the forces that are exerted on moving charge by electric field and magnetic field.<\/p>\n<h2 style=\"text-align: justify;\">Statement<\/h2>\n<p style=\"text-align: justify;\">If a specimen (metal or semiconductor) carrying a current-<em>I <\/em>is placed in a transverse magnetic field <em>B<\/em>, an electric field <em>E <\/em>is induced in the direction perpendicular to both <em>I <\/em>and <em>B<\/em>. This phenomenon, known as Hall effect, is used to determine whether a semiconductor is <em>n<\/em>-or <em>p<\/em>-type and to find the carrier concentration. Also, by simultaneously measuring the conductivity s, the mobility \u00b5 can be calculated.<\/p>\n<p style=\"text-align: justify;\">Fig. shown below illustrates the Hall effect. The current-I is in the positive <em>x<\/em>-direction and <em>B <\/em>is in the positive <em>z<\/em>-direction. Electrons and holes flowing in the semiconductor will experience a force. (The force on a particle having a charge <em>q <\/em>and moving in a magnetic field.) The force is in the negative y-direction independently of whether the carrier are holes or electrons. This charge accumulation induces an electric field in the <em>y<\/em>-direction. Hence a potential, called the Hall voltage, appears between surfaces 1 and 2.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2082 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/Hall-effect.jpg\" alt=\"Hall effect\" width=\"619\" height=\"230\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Hall-effect.jpg 619w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/Hall-effect-300x111.jpg 300w\" sizes=\"auto, (max-width: 619px) 100vw, 619px\" \/><\/p>\n<p style=\"text-align: justify;\">In steady-state, the magnetic field force will be exactly balanced by the induced electric field force or<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2084 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/magnetic-field-force.jpg\" alt=\"Magnetic field force\" width=\"1092\" height=\"772\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/magnetic-field-force.jpg 1092w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/magnetic-field-force-300x212.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/magnetic-field-force-1024x724.jpg 1024w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/magnetic-field-force-768x543.jpg 768w\" sizes=\"auto, (max-width: 1092px) 100vw, 1092px\" \/><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_1 ez-toc-wrap-left counter-hierarchy ez-toc-counter ez-toc-light-blue ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.madeeasy.in\/study\/ec\/electronic-devices-circuits\/hall-effect\/#Usefulness-of-Hall-Effect\" >Usefulness of Hall Effect<\/a><ul class='ez-toc-list-level-4' ><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.madeeasy.in\/study\/ec\/electronic-devices-circuits\/hall-effect\/#Applications\" >Applications<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.madeeasy.in\/study\/ec\/electronic-devices-circuits\/hall-effect\/#Basic-Structure-of-the-p-n-Junction\" >Basic Structure of the p-n Junction<\/a><\/li><\/ul><\/nav><\/div>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Usefulness-of-Hall-Effect\"><\/span>Usefulness of Hall Effect<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul style=\"text-align: justify;\">\n<li>Hall effect is used to determine whether a semiconductor is <em>n<\/em>-type or p-type.<\/li>\n<li>It is used to measure majority carrier concentration.<\/li>\n<li>It is used to measure majority carrier mobility.<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Applications\"><\/span>Applications<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<ul style=\"text-align: justify;\">\n<li>Magnetofield meter is an instrument operating on the principal of Hall effect and it is used for the measurement of magnetic flux density <em>B<\/em>.<\/li>\n<li>Hall effect is also used in Hall effect It gives an output proportional to the product of two signals. If <em>I <\/em>is made proportional to one of the inputs and if <em>B <\/em>is linearly related to the second signal, then, <em>V<\/em><em><sub>H<\/sub> <\/em>is proportional to the product of two signals.<\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"Basic-Structure-of-the-p-n-Junction\"><\/span>Basic Structure of the p-n Junction<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: justify;\">If donor impurities are introduced into one side and acceptors into the other side of a single crystal of a semiconductor as shown in figure. The interface separating the \u2018<em>n<\/em>\u2019 and \u2018<em>p<\/em>\u2019 regions is referred to as the metallurgical junction.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2085 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/Simplified-geometry.jpg\" alt=\"Simplified geometry of a pn-junction\" width=\"272\" height=\"148\" \/><\/p>\n<p style=\"text-align: justify;\">Majority carrier electrons in the n-region will begin diffusing into the p-region and majority carrier holes in the p-region will be diffusing into the n-region. If we assume there are no external excitation to the semiconductor, then this diffusion process cannot continue indefinitely. As electrons diffuse from the n-region, positively charged donor atoms are left behind. Similarly, as holes diffuse from the p-region, they uncover negatively charged acceptor atoms. The unneutralized ions in the neighbourhood of the junction are referred to as uncovered charges. The general shape of the charge density \u2018p\u2019 depends upon how the diode is doped. Since the region of the junction is depleted of mobile charges, it is called the depletion region, the space-charge region, or the transition region.<\/p>\n<p style=\"text-align: justify;\">The net positive and negative charges in the n and \u2018<em>p<\/em>\u2019 regions induce an electric fields in the region near the metallurgical junction, in the direction from the positive to the negative charge, or from the n to the p region.<\/p>\n<p style=\"text-align: justify;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-2087 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/07\/space-charge-region.jpg\" alt=\"Space charge region\" width=\"492\" height=\"401\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/space-charge-region.jpg 492w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2024\/07\/space-charge-region-300x245.jpg 300w\" sizes=\"auto, (max-width: 492px) 100vw, 492px\" \/><\/p>\n<p style=\"text-align: justify;\">Density gradients still exist in the majority carrier concentrations at each edge of the space charge region and producing a \u201cdiffusion force\u201d that acts on the majority carriers as shown in Fig. The electric field in the space charge region produces another force on the electrons and holes which is in the opposite direction to the diffusion force for each type of particle.<\/p>\n<p style=\"text-align: justify;\">In thermal equilibrium, the diffusion force and the electric field force exactly balance each other.<\/p>\n<p style=\"text-align: center;\"><a class=\"btn btn-danger\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ec\/electronic-devices-circuits\/energy-band-theory-of-crystals\/\" target=\"_blank\" rel=\"noopener\">&lt;&lt; Previous<\/a> | <a class=\"btn btn-success\" role=\"button\" href=\"https:\/\/study.madeeasy.in\/ec\/electronic-devices-circuits\/what-is-the-function-of-a-transistor-in-an-electronic-device\/\" target=\"_blank\" rel=\"noopener\"> Next &gt;&gt;<\/a><br \/>\n<strong> Must Read: <\/strong> <a href=\"https:\/\/study.madeeasy.in\/subjects\/what-is-edc\/\" target=\"_blank\" rel=\"noopener\"><strong>What is Electronic Devices and Circuits (EDC)?<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is Hall Effect? The Hall effect is a consequence of the forces that are exerted on moving charge by<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[571,6,1],"tags":[586,588,589,587],"class_list":["post-2080","post","type-post","status-publish","format-standard","hentry","category-electronic-devices-circuits","category-ec","category-uncategorized","tag-basic-structure-of-the-p-n-junction","tag-electric-field","tag-magnetic-field","tag-semiconductor"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2080","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=2080"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/2080\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=2080"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=2080"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=2080"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}